Proof of the winning formula The soundness of the optimal strategy described above was demonstrated by C. Bouton. Theorem. In a normal Nim game, the player making the first move has a winning strategy if and only if the nim-sum…

Given N integers. Let Total subsets T=2N. How many subsets are available from T where the distinct integers are less than or equal to K. Sample Input: 4 2 (N,K) 1 2 3 4(A[i]) Sample Output: 11 Sample Input: 4…